We present the light-quark mass dependence of the resonance at leading order in a renormalizable framework of covariant chiral effective field theory. The meson-baryon scattering amplitudes, which are obtained by solving the scattering equation within time-ordered perturbation theory, follow the quark mass trajectory of the Coordinated Lattice Simulations consortium. At MeV and MeV, our parameter-free prediction of poles is consistent with the recent lattice results of BaSc Collaboration [Phys. Rev. Lett. 132, 051901 (2024)]. Varying the pion mass from 135 MeV to 400 MeV, we present the evolution of double-pole positions of : the higher pole remains a resonance around the threshold; whereas the lower pole undergoes a transition from resonance to a virtual state, and ultimately to a bound state of the Σ system, which could be verified by the forthcoming lattice QCD simulations.

中文翻译：

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Λ(1405) 共振的光夸克质量依赖性


我们在协变手性有效场理论的可重整化框架中提出了主阶共振的光夸克质量依赖性。通过求解时序微扰理论中的散射方程获得的介子-重子散射振幅遵循协调晶格模拟联盟的夸克质量轨迹。在 MeV 和 MeV 处，我们对极点的无参数预测与 BaSc Collaboration [Phys.莱特牧师。 132, 051901 (2024)]。将π介子质量从135 MeV改变到400 MeV，我们提出了双极位置的演变：较高的极点在阈值附近保持共振；而下极点则经历从共振到虚态的转变，并最终转变为 Σ 系统的束缚态，这可以通过即将进行的晶格 QCD 模拟来验证。